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maksim [4K]
3 years ago
5

Somebody help with this please

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0
Covert standard form to slope-intercept form
4x + 7y + 3 = 0
7y = -4x - 3

y = (-4/7)x - 3/7   so the slope of this line is -4/7

The slope perpendicular to this is - 1 (-4/7)  = 7/4
The required line has equation:-
y - 1 = (7/4)(x - (-2))
y - 1 = (7/4)x + 14/4
y =   (7/4)x + 18/4  That is the answer in slope intercept form

Multiply through by 4

4y = 7x + 18

7x - 4y = 18   in Standard form Answer

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A rectangles length is 2 in more than its width. The area of the rectangle is 143 square inches. Find the dimensions of the rect
Anastaziya [24]

Answer: The length is 13 inches and the width is 11 inches.

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the area of a rectangle is expressed as

Area = LW

The area of the rectangle is 143 square inches. This means that

LW = 143 - - - - - - - - - - - - --1

The rectangle's length is 2 in more than its width. This means that

L = W + 2

Substituting L = W + 2 into equation 1, it becomes

W(W + 2) = 143

W² + 2W - 143 = 0

W² + 13W - 11W - 143 = 0

W(W + 13) - 11(W + 13) = 0

W + 13 = 0 or W - 11 = 0

W = - 13 or W = 11

Since the width cannot be negative, it means that W = 11

L = W + 2 = 11 + 2

L = 13

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3 years ago
Convert 7.23 (3 reapting) to a fraction
Svetllana [295]

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Solve:<br> (a+b+c) (a+b-c)
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Answer:

<h2><u><em>a²+2ab+b²-c²</em></u></h2>

Step-by-step explanation:

Solve:

(a+b+c) (a+b-c)=

(a²+ab-ac+ab+b²-bc+ac+bc-c²)=

a²+ab-ac+ab+b²-bc+ac+bc-c²=

a²+2ab+0ac+b²+0bc-c²=

a²+2ab+b²-c²

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2 years ago
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7. What is the perimeter around this figure in feet?
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20.667

Step-by-step explanation:

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Given that g(y) = y2 - 1, find g(a - 1).<br>Give your answer in its simplest form.​
AlekseyPX

Answer:

a^2 - 2a.

Step-by-step explanation:

Replace the y in g(y) by a - 1 and simplify.

g(a-1) = (a - 1)^2 - 1

= a^2 - 2a + 1 - 1

= a^2 - 2a.

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